198912 has 72 divisors (see below), whose sum is σ = 621376. Its totient is φ = 55296.

The previous prime is 198901. The next prime is 198929. The reversal of 198912 is 219891.

It is a zygodrome in base 5.

It is a self number, because there is not a number n which added to its sum of digits gives 198912.

It is a congruent number.

It is an unprimeable number.

198912 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5358 + ... + 5394.

2¹⁹⁸⁹¹² is an apocalyptic number.

198912 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 198912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (310688).

198912 is an abundant number, since it is smaller than the sum of its proper divisors (422464).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

198912 is an equidigital number, since it uses as much as digits as its factorization.

198912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63 (or 49 counting only the distinct ones).

The product of its digits is 1296, while the sum is 30.

The square root of 198912 is about 445.9955156725. The cubic root of 198912 is about 58.3741175105.

The spelling of 198912 in words is "one hundred ninety-eight thousand, nine hundred twelve".